## Intermediate Algebra for College Students (7th Edition)

Published by Pearson

# Chapter 9 - Section 9.3 - Logarithmic Functions - Exercise Set - Page 700: 40

#### Answer

$x=6$

#### Work Step by Step

Let $\log_{4}{4^6} = x$ RECALL: $\log_b{y} =x \longrightarrow b^x=y$ Use the rule above, where $y=4^6$ and $b=4$, to obtain: $4^x=4^6$ Use the rule "If $a^x=a^y$, then $x=y$" to obtain: $x=6$

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